Above a busy intersection in Mexico City, a billboard tallies Mexican education funds wasted since the first day of school last month. According to this new “abuse meter” about $2.8 billion annually goes into the pockets of 298,174 no-show teachers and administrators who collect pay without working. Photo: Adriana Zehbrauskas/New York Times

MEXICO CITY — All over Mexico, children have begun making their way to school for the start of a new year — many stepping into run-down buildings without running water, new textbooks or trained teachers.

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